Prime p₀= 1688953216853543567 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 64 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 174 176
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 176
Found by: CoolAtchOk
db: batch=79, k=12, 2 40 2 10 2 64

SPT(16)	1688951152450624753	0 34 60 70 78 138 148 166 168 186 196 256 264 274 300 334	-2064402918814
STPT(10)	1688951207499863381	0 2 6 8 48 50 90 92 96 98	-2009353680186
SPT(16)	1688951779461365641	0 28 40 66 112 118 190 216 322 348 420 426 472 498 510 538	-1437392177926
SPT(16)	1688952036538679557	0 36 60 154 156 222 264 276 310 322 364 430 432 526 550 586	-1180314864010
STPT(10)	1688952665368278941	0 2 36 38 78 80 120 122 156 158	-551485264626
SPT(20)	1688953178508017563	0 16 124 144 148 154 166 168 180 190 204 214 226 228 240 246 250 270 378 394	-38345526004
STPT(10)	1688953432995447077	0 2 30 32 42 44 54 56 84 86	216141903510
STPT(10)	1688953504861151939	0 2 12 14 90 92 168 170 180 182	288007608372
STPT(10)	1688954510918520617	0 2 72 74 102 104 132 134 204 206	1294064977050
SPT(16)	1688954853592714633	0 4 6 24 46 66 198 226 288 316 448 468 490 508 510 514	1636739171066
SPT(16)	1688954972935793429	0 12 44 54 60 62 72 74 168 170 180 182 188 198 230 242	1756082249862